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Simplifying 0.5x + -0.3(40 + x) = 0.4(50) 0.5x + (40 * -0.3 + x * -0.3) = 0.4(50) 0.5x + (-12 + -0.3x) = 0.4(50) Reorder the terms: -12 + 0.5x + -0.3x = 0.4(50) Combine like terms: 0.5x + -0.3x = 0.2x -12 + 0.2x = 0.4(50) Multiply 0.4 * 50 -12 + 0.2x = 20 Solving -12 + 0.2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 0.2x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 0.2x = 20 + 12 0.2x = 20 + 12 Combine like terms: 20 + 12 = 32 0.2x = 32 Divide each side by '0.2'. x = 160 Simplifying x = 160
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